A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2008; you can also visit the original URL.
The file type is application/pdf.
Filters
Symbol-flipping based decoding of generalized low-density parity-check codes over GF(q)
2006
IEEE Wireless Communications and Networking Conference, 2006. WCNC 2006.
Preserved Fulltext
An efficient symbol-flipping based decoding algorithm designed for nonbinary Generalized Low-Density Parity-Check (GLDPC) codes is proposed. ...
By extending the concept of the Weighted Bit Flip Voting (WBFV) algorithm designed for binary Hamming-code based GLDPC codes, the symbol-flipping decoding algorithm can be beneficially employed for decoding ...
As an evolution of classic LDPC codes [1] , Generalized Low-Density Parity-Check (GLDPC) codes were introduced by Tanner [4] and then Hamming-code based GLDPC codes were further explored by Boutros ...
doi:10.1109/wcnc.2006.1696457
dblp:conf/wcnc/KuoH06
fatcat:cmycva4pdvd3hiolroh2qx6z2a
Predictive Syndrome Based Low Complexity Joint Iterative Detection-Decoding Algorithm for Non-Binary LDPC Codes
2021
IEEE Access
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
This paper addresses the problem of decoding non-binary low density parity check codes(LDPC) over finite field GF(q) using symbol flipping approach. ...
INDEX TERMS Coded modulation, non-binary LDPC, joint iterative detection-decoding, symbol flipping decoding, sum product algorithm, majority logic decoding, reliability based decoding, QAM detector. 33464 ...
INTRODUCTION Non-binary low density parity check (NB-LDPC) codes defined over GF(q > 2) are an extension of binary LDPC codes [1] , [2] . ...
doi:10.1109/access.2021.3060806
fatcat:xj324cbsmng5jka3sgrisqnbd4
A Fresh Look at Coding for q-ary Symmetric Channels
[article]
2011
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
Other Versions
This paper studies coding schemes for the q-ary symmetric channel based on binary low-density parity-check (LDPC) codes that work for any alphabet size q=2^m, m∈N, thus complementing some recently proposed ...
The decoder is derived from first principles and using a factor-graph representation of a front-end that maps q-ary symbols to groups of m bits connected to a binary code. ...
ACKNOWLEDGMENTS The authors would like to thank Jossy Sayir for helpful discussions and for pointing out the similarity with iterative demapping and decoding. ...
arXiv:0909.2009v2
fatcat:wacykhdva5fwvimpnjik6cvaii
A Fresh Look at Coding for $q$-ary Symmetric Channels
2012
IEEE Transactions on Information Theory
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
This paper studies coding schemes for the q-ary symmetric channel based on binary low-density parity-check (LDPC) codes that work for any alphabet size q = 2 m , m ∈ N, thus complementing some recently ...
Index Terms-q-ary symmetric channel, low-density paritycheck (LDPC) codes, decoder front-end. ...
ACKNOWLEDGMENTS The authors would like to thank Jossy Sayir for helpful discussions and for pointing out the similarity with iterative demapping and decoding. ...
doi:10.1109/tit.2012.2208576
fatcat:jjckq5p4yjap3paby4nmkvuwqm
Dual RAM Based LDPC Decoding Bit Flipping Algorithm
2016
International Journal Of Scientific Research And Education
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
The problem of decoding non binary LDPC codes over finite fields GF(q),with reasonable complexity and good performance. ...
The design of non-binary low-density parity-check (NB-LDPC) decoder architectures with moderated area and high throughput remains a challenge for very large scale integration designers. ...
Log-domain decoding of LDPC codes over GF (q) Introduces a log-domain decoding scheme for LDPC codes over GF (q). ...
doi:10.18535/ijsre/v4i05.13
fatcat:mkz2jir635hzbfvwikpvc4al2e
Dual RAM Based LDPC Decoding Bit Flipping Algorithm
2016
International Journal Of Scientific Research And Education
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
A generic RAM based FPGA architecture for decoding LDPC codes. RAM based decoding enables us to reduce permutation networks into simple address controllers. ...
Utilizing the read-first property of the RAMs, the proposed design efficiently exploits the dual port Block RAM resources by accessing all the four ports at the same time. ...
Log-domain decoding of LDPC codes over GF (q) Introduces a log-domain decoding scheme for LDPC codes over GF (q). ...
doi:10.18535/ijsre/v4i05.12
fatcat:mmtcbu3osfbj7d6y64ifw6icv4
Performance Comparison of Eg-Ldpc Codes With Maximum Likelihood Algorithm Over Non-Binary Ldpc Codes
2014
International Journal of Computational Science and Information Technology
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
In this paper two error correcting codes from the family of LDPC codes specifically Euclidean Geometry Low Density Parity Check (EG-LDPC) codes and Nonbinary low density parity check (NB-LDPC) codes are ...
Low density parity check (LDPC) codes are a class of linear block code has the superior performance closer to the Shannon's limit. ...
This paper mainly focused on family of Low Density Parity check codes namely NB-LDPC codes and EG-LDPC codes in order compare their performances. ...
doi:10.5121/ijcsity.2014.2205
fatcat:zjoghdc3bvhmtpwgxi6hqi5yhm
Statistical mechanics of low-density parity check error-correcting codes over Galois fields
2001
Europhysics letters
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Other Versions
A variation of low density parity check (LDPC) error correcting codes defined over Galois fields (GF(q)) is investigated using statistical physics. ...
A code of this type is characterised by a sparse random parity check matrix composed of C nonzero elements per column. ...
Low-density parity check (LDPC) codes are based on the transmission of parity checks on top of the message itself, from which errors, which occur during transmission, could be identified and corrected. ...
doi:10.1209/epl/i2001-00564-y
fatcat:7uplr66w7nbktgo3yzr3mtptcq
Low Complexity Bit Reliability and Predication Based Symbol Value Selection Decoding Algorithms for Non-Binary LDPC Codes
2020
IEEE Access
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Consider a NB LDPC code C of length n with a regular parity check matrix H, defined over the GF (q), with m as number of rows and n as number of columns such that each row of H has a constant weight of ...
SYMBOL FLIPPING NON-BINARY LDPC DECODING ALGORITHMS The low complexity hard decision symbol flipping decoding algorithm based on the majority logic decision is known as generalized algorithm B [15] . ...
doi:10.1109/access.2020.3013814
fatcat:sqzg2a54enfddpmgbjobebyqlm
Controversial Variable Node Selection-Based Adaptive Belief Propagation Decoding Algorithm Using Bit Flipping Check for JSCC Systems
2022
Entropy
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf.
The proposed CVNS-ABP algorithm reduces the influence of error bits on decoding by selecting error variable nodes (VNs) from controversial VNs and adding them to the sparsity of the parity-check matrix ...
An end-to-end joint source–channel (JSC) encoding matrix and a JSC decoding scheme using the proposed bit flipping check (BFC) algorithm and controversial variable node selection-based adaptive belief ...
Acknowledgments: The authors would like to thank the reviewers for their constructive comments that have helped improving the overall quality of the article. ...
doi:10.3390/e24030427
pmid:35327937
pmcid:PMC8947198
fatcat:j2gm5iap3zasjcg2hcascy7a24
Quantum Error Correction beyond the Bounded Distance Decoding Limit
[article]
2010
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
In this paper, we consider quantum error correction over depolarizing channels with non-binary low-density parity-check codes defined over Galois field of size 2^p . ...
The resulting quantum codes outperform the best known quantum codes and surpass the performance limit of the bounded distance decoder. ...
INTRODUCTION In 1963, Gallager invented low-density parity-check (LDPC) codes [1] . Due to the sparseness of the code representation, LDPC codes are efficiently decoded by the sum-product algorithm. ...
arXiv:1007.1778v1
fatcat:fprx4vo2wvhwpkoa665cs53fdu
Modified belief propagation decoders for quantum LDPC codes
[article]
2019
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Quantum low-density parity-check codes can be decoded using a syndrome based GF(4) belief propagation decoder. ...
We also propose the use of an augmented decoder, which has previously been suggested for classical binary low-density parity-check codes. ...
For a code over GF(q) these messages will be vectors of length q. ...
arXiv:1903.07404v1
fatcat:7hqenn6l5vcx7kukkd5ivdtpmi
A Novel Architecture for Elementary-Check-Node Processing in Nonbinary LDPC Decoders
2017
IEEE Transactions on Circuits and Systems - II - Express Briefs
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2016; you can also visit the original URL.
The file type is application/pdf.
This paper presents an efficient architecture design for Elementary Check Node processing in Non-Binary Low-Density Parity-Check decoders based on the Extended Min-Sum algorithm. ...
The adoption of this new design at the Check Node level results in a high-rate low-cost full-pipelined processor. ...
ACKNOWLEDGEMENT The authors would like to thank Yvan Eustache and Hassan Harb for the valuable discussion and insights on the implementation aspects of this work. ...
doi:10.1109/tcsii.2016.2551550
fatcat:dvcjgq2tgjhijcua63vliyezse
An Area-Efficient Relaxed Half-Stochastic Decoding Architecture for Nonbinary LDPC Codes
2015
IEEE Transactions on Circuits and Systems - II - Express Briefs
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Index Terms-Nonbinary low-density parity-check (LDPC) codes, relaxed half-stochastic (RHS) algorithm, stochastic decoding. ...
This brief presents an area-efficient relaxed halfstochastic nonbinary low-density parity-check (NB-LDPC) decoder. ...
INTRODUCTION N ONBINARY low-density parity-check (NB-LDPC) codes, investigated by Davey and Mackay [1] , are defined on the null space of a parity-check matrix H, in which the nonzero entries are the ...
doi:10.1109/tcsii.2014.2368616
fatcat:jeobzpibivd2veyu7r43kn6lmy
Parallel vs. sequential belief propagation decoding of LDPC codes over and Markov sources
2007
Physica A: Statistical Mechanics and its Applications
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:
2006 pre-print arXiv:cs/0605069v1 fatcat:m5e5aedmwnabbprzfotqpzoona
A sequential updating scheme (SUS) for belief propagation (BP) decoding of LDPC codes over Galois fields, GF(q), and correlated Markov sources is proposed, and compared with the standard parallel updating ...
that for the PUS, independent of the finite field size q. ...
Acknowledgment The research of I.K. is supported in part by the Israel Science Foundation. ...
doi:10.1016/j.physa.2006.12.009
fatcat:ffezdpaujbfwtjgk6eev5sagqq
« Previous
Showing results 1 — 15 out of 229 results